The starting constructions is the well known ellipse construction using the concentric circles
c1 and c2. By eccentricity of the center C2 for some value w, and for the preserved center of
the transformation in the center C1, the degree of the obtained curve rises from two to three,
as done by mathematician Fritz Hügelschäffer. If we also displace the center of the
transformation from C1, we obtain a variety of higher order curves using the same principle
in the constructive procedure.

… Graphic examination of the possibility of generating curves of higher order using the
extension of Hügelschäffer's egg-shaped curve construction, bases upon constructive
procedure of the Newton’s transformation, known as hyperbolism [3], [9], [11]. The known
construction of ellipse, Fig. 1a) is also based on the hyperbolism of two circles: c1 (C1, r1)
and c2 (C2, r2). … In this paper, we continue the extension of the Hügelschäffer's
construction and the examination of possible shapes of such obtained curves. Observe …